Students and Teachers Forum

1. A shopkeeper buys 5 cameras at Rs 4500 each and another 9 at discount of price of Rs 2500 each. If all the articles are sold at Rs 3000 each, what overall percentage profit or loss does the shop makes.

The answer mentioned along with it is not correct. Please check .....

2. In a school 40% are boys and 900 are girls. Find the total number of students of the school and the number of boys.

We would be glad to help you. We will try to be as responsive as we .....

3. How to register a political party?

Persons who are committed to common political ideology, philosophy and program may form and operate political parties. A political party formed must register the party with the Election Commission upon fulfillment of the procedures established by .....

4. Show the difference between the security bond and share.

- Securities are identified as a financial instrument. Shares are identified as unit of ownership of a corporation. - The value of security is determined by the issuer. Value of the share is determined by the demand and supply conditions in the .....

5. In the figure given aside, if PA vector = 1/4 PQ vector, show that a vector = 1/4 (3 p vector + q vector).

Here,  In triangle OPQ,  PQ = PO + OQ = - p + q  .....(i)      [ Using triangle rule of vector addition.] In triangle OAP, PA = PO + OA = - p + a    ...(ii)      [ Using triangle rule .....

6. Find the volume of the given solid object.

Here,  Area of cross-section of given solid (A) = 6cm ⨯ 2cm + 2cm⨯2cm= 16cm2   Height of solid = h = 10cm Thus,  Volume = A ⨯ h =............Find .....

7. If A( 5, 4 ) , B( -1, 3 ) and C( 5,2 ) are the three vertices of a triangle, find the position vector of the centroid of triangle ABC. 

Let, vector A = ( 5 , 4 )         Vector B = (-1 , 3 )         Vector C = ( 5 , 2 ) Let vector G be the position vector of centriod,  Then , Using formula, Vector G = 1/ 3 ( vector A  .....

8. २. खाली ठाउँमा कोष्ठकबाट उपयुक्त शब्द छानी भर्नुहोस् :
क) .......... अनेकार्थी शब्द हो । (पश्चिम, दक्षिण, उत्तर)
ख) ‘अग्नि’ को पर्यायवाची शब्द .......... हो । (अनल, अनिल, विमल)
ग) ‘दोष’ को विपरीतार्थी शब्द .......... हो । (होस, गुण, बेहोस)
घ) .......... श्रुतिसमभिन्नार्थी शब्द हुन् । (हित–सित, तल–माथि, शीत–सित)

२. (क) उत्तर (ख) अनल (ग) गुण (घ) शीत र .....

9. What will be the total surface area of the inner part of a cubical water tank which holds 8000 liter of water?

This is the figure formed by opening each side of the cube having length "a". Here, Surface area of one part = a x a = a2 So, total surface area of 6 sides = 6a2 Now, lets look at the question Given, The total volume of water .....

10. १. समूह ‘क’ मा दिइएका शब्दहरूको अर्थ समूह ‘ख’ बाट पहिचान गरी लेख्नुहोस् :
समूह ‘क’                  समूह ‘ख’
आसमान                   शुद्ध पारिएको
बर्कत                         विज्ञ
परिष्कार                    देवलोक
लरी                           बल
                                 ट्रक
                                 कौसी

१. आसमानः देवलोक बर्कतः बल परिष्कारः शुद्ध पारिएको लरीः .....

11. Why do the aquatic plants have the thin coat of wax on their surface ?

The waxy covering on plant leaves, young stems, and fruit is called the "cuticle". It is composed of cutin, a wax-like material produced by the plant that is chemically a hydroxy fatty acid. The purpose of this covering is to help the .....

12. By using matix method show that a reflection about y=x followed by a reflection in y- axis is equivalent to the rotation through 90° about the origin

Let P(x, y) be the object. Then, reflection by line y= x axis is given by the metrix 0110 So, Image of P = P' = 0110x y = y x Again, reflection in y-axis is given by the matrix -1001 So, image of P' = P" = -1001y x = .....

13. "Marriage is a social institution where a man and woman live as a husband and wife." Explain.

Marriage is the universal social institution. It helps to establish a family and give continuation to the generation into the future. So, marriage is practice in the human society and it regulates the sexual relationship between husband and .....

14. What type of bonding between NaCl ?

Ionic bonding is present in the molecules of .....

15. How much retardation should be produced to stop the car moving with the velocity of 72km/hr in 5 seconds? Calculate the distance covered by the car in that time.

Again, Using formula v2 = u2 + 2as You will get the value of distance travelled by the car before it .....

16. Find the standard deviation and its coefficient of the given data.
Class 1-9 11-19 21-29 31-39 41-49
Frequency 2 4 6 4 3

Make new table as shown below and fill the data.   Class Frequency f(m - x̅)2 1 - 10 2 886.205 10 - 20 4 488.41 20 - 30 6 6.615 30 - 40 4 320.41 40 - .....

17. [(1+cota+tana) (sina-cosa) / (sec^3a-cosec^3a)] = sin^2a × cos^2a

.....

18. Sin^2a × cos^2a =tan^2a + cot^2a + 2

.....

19. Prove that:1-sina.cosacosa seca-coseca×sin2a–cos2asin3a + cos3a = sina

LHS 1 - sina.cosacosa(seca - coseca) × sin2a – cos2asin3a + cos3a = 1 - sina.cosacosa.seca - cosa.coseca × (sina – cosa)(sina + cosa)(sina + cosa)(sin2a - sina.cosa + cos2a) = 1 - sina.cosa1 - cosasina × .....

20. Prove that : 1/(secA+tanA) + 1/cotA = 1/(secA - tanA) - 1/cotA

.....

21. Write short notes on:

Total fertility rate
 

Total Fertility Rate (TFR) is defined as the average number of children a woman would have assuming that current age-specific birth rates remain constant throughout her childbearing years. Simply total fertility rate is the average number of .....

22. What are herbivorous animal?

The animals that only eats green grass are called .....

23. Describe the effects of rapid population growth on environmental areas.

The rapid population growth (RPG) is a state ofoverpopulationn in terms of existing means and resources. When the population growth rate is more than 2% and total fertility rate is more than 2.1 per woman, it is known as the condition of rapid .....

24. If cos45o = 1/√2, prove that cos22.5o = 1/2 √(2+√2)

.....

25.  Read the text and do the activities:
      I suppose every family has a black sheep. Tom had been a sore trial to him for twenty years. He had begun life decently enough: he went into business, married, and had two children. The Ramsays were perfectly respectable people and there was every reason to suppose that Tom Ramsay would have a useful and honourable career. But one day, without warning, he announced that he didn't like work and that he wasn't suited for marriage. He wanted to enjoy himself. He would listen to no expostulations. He left his wife and his office. He had a little money and he spent two happy years in the various capitals of Europe. Rumours of his doings reached his relations from time to time and they were profoundly shocked. He certainly had a very good time. They shook their heads and asked what would happen when his money was spent. They soon found out: he borrowed. He was charming and unscrupulous. I have never met anyone to whom it was more difficult to refuse a loan. He made a steady income from his friends and he made friends easily. But he always said that the money you spent on necessitiæ was boring; the money that was amusing to spend was the money you spent on luxuries. For this, he depended on his brother George.

A. Write 'True' for true and False' for false statement: 
a. Tom his wife and his office to enjoy his treaty. 
b. Tom had a regular business. 
c. The relatives were happy to know that Tom was visiting the capitals of Europe. 
d. He preferred expenses on luxuries to expenses on necessities. 
e. Brother George was a responsible brother. 

B. Answer the following questions: 
a. What type of life was expected of Tom Ramsay? 
b. How did Tom survive when he ran out of money? 
c. What was the announcement by Tom? 
d. How was Tom's personality? 
 

Find the answer: A True or False a. True b. False c. False d. True e.  .....

26. To what transformation is the matrix 130013 associated? Use this matrix to transform the point P(6, 9).

The given matrix is associated to the enlarge with centre at origion and scale factor 1/3. So,  For this we have formula, P(x, y) ----------------------> P'(kx, ky), here k = 1/3. Find your answer .....

27. The TSA of a triangular prism is 500cm2 more than the LSA. If the height of the prism is 20cm, find the volume of the prism.

Here, given TSA = LSA + 500cm2 or, TSA - LSA = 500cm2 ..............(i) Height of prism = h = 20cm We know, TSA = LSA + 2 of base area. or, 2 Bsae area = TSA - LSA  or, 2 Base area = 500cm2. or, Base area = .....

28. What would be the suitable rating of a fuse if it had to work normally between 240v and 2000w deep fridge .

Here,  Power = P = 2000w Voltage = V = 240v We know,  P = IV or, I = 2000/240 = 8.333A. So, you have to use 10A .....

29. What should be the number of secondary turn to produce t v secondary voltage it primary voltage is 220v and primary turns are 2000

Let the Primarly Voltage be 'Vp' , Secondary Voltage be 'Vs'. From given condition, Turns in Primary coil(Tp) = 2000  Turns in Secondary coil(Ts) =? Voltage in primary coil (Vp) = 220 V Voltage in secondary coil (Vs) = t .....

30. If A =1243 , show that A2 - 4A = 5I, where I is an identity matrix.

Here,  A2 - 4A = 12431243 - 41243 = 1⨯1+2⨯41⨯2+2⨯34⨯1+3⨯44⨯2+3⨯3 - 481612 = 981617- 481612 = 5005 = 5 1001 = 5I = .....

31. Write an essay on "unemployment problem in Nepal" in about 200 words.

Nepal, situated between Asian giants India and China, is a small agricultural underdeveloped nation. However, due to various reasons, most of the youths in the nation are unemployed. The population who are temporary .....

32. Write an essay about dashain.

Dashain  is the greatest festival of Nepali Hindus. Like other festivals, it is also based on the lunar calendar and falls in the months of Aswin or Kartik. Dashain is observed for 15 days from the new moon day .....

33. Which acid is found in human stomach? Which type of acid is it?

Dil. Hydrochloric acid (HCL) is found in human .....

34. Write the main provisions of the new civil code.

The main provisions are mentioned in the points below: - Life imprisonment has been increased from 20 years to 25 years.  - Enforced disappearance will be criminalised. - Strong privacy laws have been enforced, potentially limiting free .....

35. Divide:
(x6-y6)÷(x2-y2)

Here,  (x6 - y6) ÷ (x2 - y2) = {(x2)3  - (y2)3} / (x2 - y2) Using formula a3 - b3 = (a - b)(a2 + ab + b2) we get = ( x2 - y2) {(x2)2 + x2y2 + (y2)2}  / (x2 - .....

36. Mention a few reasons for women backwardness and suggest some preventive measures.

The reasons behind their backwardness are mentioned in the points below: - Being the victim of male-dominated society, - Being deprived of quality education, - Failure to involve in skill developing training, - Lack of participation in .....

37. १०. तल दिइएको गद्यांश राम्ररी पढी सोधिएका प्रश्नहरूको उत्तर दिनुहोस् :
कतिपय अवस्थामा संस्कृतिका नाममा विकृतिले प्रश्रय पाइरहेको हुनछ । संस्कृति मानिसका भलाइका लागि हो । अन्ध विश्वास, विभेद, शोषण, उत्पीडन आदि संस्कृति नभएर विकृति हुन् । हामी कहाँ दाइजो, तिलक, बोक्सी, छुवाछुत, बलिप्रथा जस्ता खराब प्रथाहरू छन्, जसलाई हामीले संस्कृकिका नाममा जोगाइरहेका छौँ । घुस खाने, भ्रष्टाचार गर्ने, अरूलाई दुःख दिने, नराम्रो काम गरेर पनि धनी बन्नुपर्छ भन्ने चिन्तर र व्यवहार विकृति हुन्, संस्कृति होइनन् । चाडपर्व, पूजाआजा, जन्म, विवाह, मृत्यु आदि हाम्रा संस्कारका अवसरमा अनावश्यक खर्च गर्ने, आडमबर देखाउने, आडम्बर देखाउने, मादक पदार्थ सेवन गर्ने, तास, जुवा खेल्ने झगडा गर्ने जस्ता प्रवृत्तिले प्रश्रय पाएको देखिन्छ । यस्ता क्रियाकलापहरू संस्कृति नभएर विकृति हुन् । हामीले हाम्रा मौलिक र्सस्कृतिको संरक्षण गर्नुपर्छ । संस्कृतिको मूल चरित्र परिवर्तनशील भएकाले आवश्यकताअनुसार तिनलाई परिमार्जन र परिष्कार गर्दै लैजानुपर्छ । संस्कृतिका नाममा देखिएका विकृतिलाई हटाउनुपर्छ ।

प्रश्नहरू
क) अनुच्छेदमा रेखाङ्कित विभक्तिको नाम लेखनुहोस् ।
ख) अन्तिम वाक्यलाई इच्छार्थकमा परिवर्तन गर्नुहोस् ।
ग) कस्तो प्रथालाई संस्कृतिका नाममा जोगाइ राखेका छौँ ?
घ) कस्ता परम्परा संस्कृति नभएर विकृति हुन् ?
ङ) ‘बलिप्रथा’ र ‘विकृति’ शब्दका निर्माण प्रक्रिया देखाउनुहोस् ।

क) हामीले = प्रथमा विभक्ति विकृतिलाई = द्वितीया विभक्ति ख) संस्कृतिको नाममा देखिएका विकृतिलाई .....

38. A positive consisting two digits. The sum of digits is 9. If 27 is added to the number then digits of the number are reversed. What is the number.

Let the number be '10x + y' Now, from first condition,  x + y = 9.....................(i) Again, from another condition, 10x + y + 27 = 10y + x or, 9y - 9x = 27 or, y - x = 3 or, y = x+ 3 .......(ii) Solve (i) & (ii) and .....

39. Write down the transformation of energy while lightening a bulb in a torchlight by using cells.

Chemical energy to light and heat .....

40. Write an essay about the use of internet in today's life.

Internet is very famous nowadays for satisfying people with various services related to various different fields. It is a very versatile facility which can help you in completing many tasks easily and conveniently with few clicks. It can be any .....

41. Write down the transformation of energy while using a microphone and loud speaker in a program.

Micro phone converts sound (mechanical) energy to electrical energy. Sound energy ⟶ Electrical .....

42. Though the eathquake cannot be prevented it's loss can be minimized. How? Write in points

Definitely, the loss of the earthquake can be minimized if we focus on the following things: - If we build earthquake resistant infrastructures. - If we know about the safety .....

43. A hemispherical bowl with radius 21 cm is full of water. If the water is poured into a 1m tall jar with the diameter of the base 28 cm, find the height of the water level in the jar.

Let r be the radius of hemisphere, R be the radius of cylinder and h be the height of water level in jar. So,  Volume of water in hemisphere = volume of water in cylindrical jar or, .....

44. In the adjoining solid is a crystal formed by the combination of two equal square based pyramid of side 12 cm. If the height of the crystal is 16cm, find the total surface area and volume.

Here,  Length of base = a = 12cm. Both pyramid are equal. i.e; they have same height. So, height of upper pyramid = height of lower pyramid = h = 16/2 = 8cm. Slant height of pytamid = l = √[(a/2)2 + h2] =..................= .....

45. What is the proper fraction?

The fractions 1/4, 3/8, 5/11, 9/13, 14/25, ………., etc., are the fractions where the numerators are smaller than the denominators. A fraction is said to be a proper fraction when its numerator is smaller than its .....

46. A circular pond with radius 40 m is surrounded from outside by a path 4m wide.Find the cost of making the path at rs. 50/m.2

Let, r be the radius of the circular field. Given,  r = 40 m So, area for field (A1) = πr2  = (22/7) ⨯ (40)2  = .............find it. Now, let, R be the radius of circular field with path of wide 4 m  So, R = r + 4 .....

47. Prove that: [Sin38-cos68]/[cos68+sin38]=√3tan8.

Here, LHS = [Sin38 - cos68] / [cos68 + sin38] = [Sin38 - cos(90 - 22)] / [cos(90 - 22)+sin38] = [ [Sin38  - sin22] / [sin22 + sin38]  [ Since, sin(90 - A) = cosA and so on.] Now use formula of SinC - SinD and SinC + SinD .....

48. How is angle of dip at certain place measured? Where do the earths magnetic south pole and magnetic north pole lie?

Angle of dip is the angle by which the total intensity of the earth’s magnetic field dips or comes out of the horizontal plane. It is different at different places. It can be measured using a “Dip Circle”. At the magnetic .....

49. In which condition are cells connected in series?

As we know, series connections increase voltage with each additional cell. So if we need more potential difffernce, we use series connection as shown in figure: And, 

Parallel connections increase current with each additional .....

50. Calculate the volume of football of radius 7 cm.

Here, given  radius of football (r) = 7cm Football is a sphere We know that, Volume of sphere (V) =  43πr3   Can you calculate the volume of football .....